Finding the Third Proportional to 130,408 and 196,864

Step by Step Solution

1. Step 1: Write the proportion equation
   130,408 : 196,864 = 196,864 : x
2. Step 2: Convert to fraction form
   130,408/196,864 = 196,864/x
3. Step 3: Cross multiply
   130,408x = 196,864 × 196,864
4. Step 4: Simplify right side
   130,408x = 38,755,434,496
5. Step 5: Solve for x
   x = 38,755,434,496/130,408
6. Step 6: Final answer
   x = 297,186.02